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Advances in Applied Mathematics and Mechanics
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  • Wall Temperature Effects on the Reynold Stress of Flat-Plate Turbulent Boundary Layer: A Numerical Investigation

    Xin Li, Changping Yu, Xinliang Li
    2019-04-16
    49788 3179 Pages:653-663
  • A Modified Hybrid High-Order Essentially Non-Oscillatory Compact Difference Scheme for Nonlinear Degenerate Parabolic Equations

    Xiaohua Zhang, Shengfeng Wang
    2025-10-29
    4500 129 Pages:482-518
  • Numerical Approximation of a Nonlinear 3D Heat Radiation Problem

    Liping Liu, Min Huang, Kewei Yuan, Michal Křížek
    2018-08-10
    43623 4857 Pages:125-139
  • High-Order Numerical Approximation and Error Estimation for Fourth-Order Equation in Complex Cylindrical Domain

    Xuenan Zhao, Jing An, Juan Zhang
    2025-11-28
    93 3
  • An Efficient Numerical Method for the Valuation of American Better-of Options Based on the Front-Fixing Transform and the Far Field Truncation

    Xiaowei Pang, Haiming Song, Xiaoshen Wang, Kai Zhang
    2020-06-01
    50659 3412 Pages:902-919
  • A Numerical Framework to Simplify CAD Models for Reliable Estimates of Physical Quantities

    Ming Li, Jingzhi Li, Ralph Martin, Kai Zhang
    2019-06-24
    44118 3134 Pages:870-889
  • A Discontinuous Galerkin Method Based on a BGK Scheme for the Navier-Stokes Equations on Arbitrary Grids

    Hong Luo, Luqing Luo, Kun Xu
    2018-08-10
    41573 3914 Pages:301-318
  • Numerical Approximation of Oscillatory Solutions of Hyperbolic-Elliptic Systems of Conservation Laws by Multiresolution Schemes

    Stefan Berres, Raimund Bürger, Alice Kozakevicius
    2018-08-10
    40107 4028 Pages:581-614
  • A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry

    Jinxin Wu, Han Liu, Zuoli Xiao
    2019-04-16
    49472 3181 Pages:583-597
  • Modeling of Ice-Water Phase Change in Horizontal Annulus Using Modified Enthalpy Method

    Esad Tombarević, Igor Vušanović
    2021-01-21
    43315 4315 Pages:354-369
  • Improving the Stability of the Multiple-Relaxation-Time Lattice Boltzmann Method by a Viscosity Counteracting Approach

    Chunze Zhang, Yongguang Cheng, Shan Huang, Jiayang Wu
    2018-05-05
    44026 4679 Pages:37-51
  • A Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation

    Lijie Ji, Yanlai Chen, Zhenli Xu
    2019-06-24
    46360 3206 Pages:1200-1218
  • Numerical Simulation of Hose Whip Phenomenon in Hose-Drogue Aerial Refueling

    Lele Chen, Xueqiang Liu, Ning Qin
    2018-09-17
    45635 3143 Pages:517-528
  • A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao, Qiang Niu
    2021-07-01
    48037 4043 Pages:1416-1437
  • Aeroacoustic Simulations Using Compressible Lattice Boltzmann Method

    Kai Li, Chengwen Zhong
    2018-05-05
    42488 3012 Pages:795-809
  • Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations

    Yuping Li, Hui Liang, Huifang Yuan
    2025-05-12
    8366 513 Pages:1111-1132
  • Fitted Finite Volume Method for Pricing American Options under Regime-Switching Jump-Diffusion Models Based on Penalty Method

    Xiaoting Gan, Jun-Feng Yin, Rui Li
    2020-04-10
    44981 3340 Pages:748-773
  • An Immersed Finite Element Method for Elliptic Interface Problems with Multi-Domain and Triple Junction Points

    Yuan Chen, Songming Hou, Xu Zhang
    2019-06-24
    47276 3257 Pages:1005-1021
  • Error Analysis of a Pressure Penalty Scheme for the Reformulated Ericksen-Leslie System with Variable Density

    Xin Zhang, Danxia Wang, Jianwen Zhang, Hongen Jia
    2024-05-14
    25113 2394 Pages:952-979
  • A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

    Eric Ngondiep
    2025-03-14
    11029 774 Pages:956-988
  • Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations

    Lina Ma, Cheng Wang, Zeyu Xia
    2024-12-31
    13013 1149 Pages:633-662
  • Two-Relaxation-Time Regularized Lattice Boltzmann Model for Navier-Stokes Equations

    Yuan Yu, Zuojian Qin, Siwei Chen, Shi Shu, Haizhuan Yuan
    2024-12-31
    13202 1211 Pages:489-516
  • High-Order Finite Volume Methods for Aerosol Dynamic Equations

    Ming Cui, Yanxin Su, Dong Liang
    2018-05-05
    41061 3046 Pages:213-235
  • Numerical Simulations of Unsteady Flows from Rarefied Transition to Continuum Using Gas-Kinetic Unified Algorithm

    Junlin Wu, Zhihui Li, Aoping Peng, Xinyu Jiang
    2018-05-05
    41976 3046 Pages:569-596
  • Numerical Study on the Dynamics and Oxygen Uptake of Healthy and Malaria-Infected Red Blood Cells

    P. G. Jayathilake, Gang Liu, Zhijun Tan, B. C. Khoo
    2018-05-05
    41881 3043 Pages:549-568
  • Numerical Method for the Time Fractional Fokker-Planck Equation

    Xue-Nian Cao, Jiang-Li Fu, Hu Huang
    2021-07-01
    42765 4207 Pages:848-863
  • Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Hölder Spaces

    Iurie Caraus, Zhilin Li
    2021-07-01
    42860 4089 Pages:737-750
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